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Finding the Fourth Proportional to 205.45, 308.09 and 83.67

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Solution

The fourth proportional to 205.45, 308.09 and 83.67 is: 125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.45 : 308.09 = 83.67 : x
  2. Step 2: Convert to fraction form
    205.45/308.09 = 83.67/x
  3. Step 3: Cross multiply
    205.45x = 308.09 × 83.67
  4. Step 4: Simplify right side
    205.45x = 25,778.10
  5. Step 5: Solve for x
    x = 25,778.10/205.45
  6. Step 6: Final answer
    x = 125.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.